The document discusses the modeling of a variable speed compressor vapor compression refrigeration system using eco-friendly and nano refrigerants, focusing on heat transfer enhancements achieved through various nanoparticles. It presents experimental and theoretical analyses, showing significant improvements in the coefficient of performance (C.O.P.) with the use of different nanoparticles in refrigerants like R-404A and R-407C. Key findings indicate that the C.O.P. increased by up to 14.8% with CuO nanoparticles, with varying influences based on the type and concentration of nanoparticles used.